
Program Summer Research 2016
Come spend time at MSRI in the summer! The Institute’s summer graduate schools and undergraduate program fill the lecture halls and some of the offices, but we have room for a modest number of visitors to come to do research singly or in small groups, while enjoying the excellent mathematical facilities, the great cultural opportunities of Berkeley, San Francisco and the Bay area, the gorgeous natural surroundings, and the cool weather.
We can provide offices, library facilities and bus passes—unfortunately not financial support. Though the auditoria are largely occupied, there are blackboards and ends of halls, so 26 people could comfortably collaborate with one another. We especially encourage such groups to apply together.
To make visits productive, we require at least a twoweek commitment. We strive for a wide mix of people, being sure to give special consideration to women, underrepresented groups, and researchers from nonresearch universities.
Updated on Mar 22, 2016 11:58 AM PDT 
MSRIUP MSRIUP 2016: Sandpile Groups
Organizers: Federico Ardila (San Francisco State University), Duane Cooper (Morehouse College), Maria Mercedes Franco (Queensborough Community College (CUNY)), Herbert Medina (Loyola Marymount University), LEAD Suzanne Weekes (Worcester Polytechnic Institute)The MSRIUP summer program is designed for undergraduate students who have completed two years of universitylevel mathematics courses and would like to conduct research in the mathematical sciences. Due to funding restrictions, only U.S. citizens and permanent residents are eligible to apply and the program cannot accept foreign students regardless of funding. The academic portion of the 2016 program will be led by Prof. Luis GarciaPuente of Sam Houston State University.
Updated on Jun 16, 2016 02:58 PM PDT 
Summer Graduate School Mixed Integer Nonlinear Programming: Theory, algorithms and applications
Organizers: Franscisco Castro (University of Sevilla), Elena Fernandez (Universitat Politècnica de Catalunya), Justo Puerto (University of Sevilla)This school is oriented to the presentation of theory, algorithms and applications for the solution of mixed integer nonlinear problems (MINLP). This type of problems appears in numerous application areas where the modelization of nonlinear phenomena with logical constraints is important; we must remember here the memorable phrase “the world is nonlinear”. Nowadays the theoretical aspects of this area are spread in a number of recent papers which makes it difficult, for nonspecialist, to have a solid background of the existing results and new advances in the field. This school aims to organize and present this material in an organized way. Moreover, it also pursues to link theory with actual applications. In particular, remarkable applications can be found in air traffic control agencies, the air companies, the electric power generation companies, the chemical complex units, the analysis of financial products usually associated with risk dealing and in the algorithms in the statistical field and artificial intelligence as for instance artificial neural networks, or supporting vector machines, among many others.
Updated on May 17, 2016 10:51 AM PDT

Summer Graduate School An Introduction to Character Theory and the McKay Conjecture
Organizers: Robert Guralnick (University of Southern California), Pham Tiep (University of Arizona)Character Theory of Finite Groups provides one of the most powerful tools to study groups. In this course we will give a gentle introduction to basic results in the Character Theory, as well as some of the main conjectures in Group Representation Theory, with particular emphasis on the McKay Conjecture.
Updated on May 25, 2016 01:03 PM PDT 
Summer Graduate School Electronic Structure Theory
Organizers: LEAD Lin Lin (University of California, Berkeley), Jianfeng Lu (Duke University), James Sethian (University of California, Berkeley)Ab initio or first principle electronic structure theories, particularly represented by KohnSham density functional theory (KSDFT), have been developed into workhorse tools with a wide range of scientific applications in chemistry, physics, materials science, biology etc. What is needed are new techniques that greatly extend the applicability and versatility of these approaches. At the core, many of the challenges that need to be addressed are essentially mathematical. The purpose of the workshop is to provide graduate students a selfcontained introduction to electronic structure theory, with particular emphasis on frontier topics in aspects of applied analysis and numerical methods.
Updated on Mar 23, 2016 09:35 AM PDT 
Summer Graduate School Chip Firing and Tropical Curves
Organizers: LEAD Matthew Baker (Georgia Institute of Technology), David Jensen (University of Kentucky), Sam Payne (Yale University)Tropical geometry uses a combination of techniques from algebraic geometry, combinatorics, and convex polyhedral geometry to study degenerations of algebraic varieties; the simplest tropical objects are tropical curves, which one can think of as "shadows" of algebraic curves. Linear equivalence of divisors on an abstract tropical curve is determined by a simple but rich combinatorial process called "chip firing", which was discovered independently in the discrete setting by physicists and graph theorists. From a pedagogical point of view, one can view tropical curves as a combinatorial model for the highly analogous but more abstract theory of algebraic curves, but there is in fact much more to the story than this: one can use tropical curves and chip firing to prove theorems in algebraic geometry and number theory. This field is relatively new, so participants will have the opportunity to start from scratch and still get a glimpse of the cutting edge in this active research area.
Updated on Feb 11, 2016 02:10 PM PST 
Program Complementary Program (201617)
The Complementary Program has a limited number of memberships that are open to mathematicians whose interests are not closely related to the core programs; special consideration is given to mathematicians who are partners of an invited member of a core program.
Updated on Jun 07, 2016 12:46 PM PDT 
Program Geometric Group Theory
Organizers: Ian Agol (University of California, Berkeley), Mladen Bestvina (University of Utah), Cornelia Drutu (University of Oxford), LEAD Mark Feighn (Rutgers University), Michah Sageev (TechnionIsrael Institute of Technology), Karen Vogtmann (University of Warwick)The field of geometric group theory emerged from Gromov’s insight that even mathematical objects such as groups, which are defined completely in algebraic terms, can be profitably viewed as geometric objects and studied with geometric techniques Contemporary geometric group theory has broadened its scope considerably, but retains this basic philosophy of reformulating in geometric terms problems from diverse areas of mathematics and then solving them with a variety of tools. The growing list of areas where this general approach has been successful includes lowdimensional topology, the theory of manifolds, algebraic topology, complex dynamics, combinatorial group theory, algebra, logic, the study of various classical families of groups, Riemannian geometry and representation theory.
The goals of this MSRI program are to bring together people from the various branches of the field in order to consolidate recent progress, chart new directions, and train the next generation of geometric group theorists.Updated on Jul 15, 2015 10:57 AM PDT 
Workshop Connections for Women: Geometric Group Theory
Organizers: LEAD Ruth Charney (Brandeis University), Indira Chatterji (Université Nice SophiaAntipolis), Mark Feighn (Rutgers University), Talia Fernós (University of North Carolina)This threeday workshop will feature talks by six prominent female mathematicians on a wide range of topics in geometric group theory. Each speaker will give two lectures, separated by a breakout session during which participants will meet in small groups to discuss ideas presented in the first lecture. The workshop is open to all mathematicians.Updated on Apr 07, 2016 01:54 PM PDT 
Workshop Introductory Workshop: Geometric Group Theory
Organizers: Martin Bridson (University of Oxford), Benson Farb (University of Chicago), LEAD Zlil Sela (Hebrew University), Karen Vogtmann (University of Warwick)This will be an introductory workshop to the MSRI jumbo program Geometric Group Theory being held during the Fall Semester of 2016. The purpose of the workshop is to provide an overview of key areas of research to be covered in the program, including an introduction to open problems of current interest.
Updated on May 27, 2016 10:47 AM PDT 
Workshop Groups acting on CAT(0) spaces
Organizers: Ian Agol (University of California, Berkeley), PierreEmmanuel Caprace (Université Catholique de Louvain), Koji Fujiwara (Kyoto University), Alessandra Iozzi (ETHZ), LEAD Michah Sageev (TechnionIsrael Institute of Technology)The theme of the workshop is algebraic, geometric and analytical aspects of groups that act by isometries on spaces of nonpositive curvature known as CAT(0) spaces. The world of CAT(0) spaces includes classical spaces such as symmetric spaces and buildings, as well as more avantgarde arrivals, such as CAT(0) cube complex. The workshop will bring together researchers studying various aspects of such groups and spaces to discuss recent developments and chart new directions in the field.
Updated on Apr 08, 2016 09:43 AM PDT 
Workshop Geometry of mapping class groups and Out(Fn)
Organizers: Yael AlgomKfir (University of Haifa), LEAD Mladen Bestvina (University of Utah), Richard Canary (University of Michigan), Gilbert Levitt (Université de Caen)A fourday workshop with researchlevel talks on the latest advances in the geometry of mapping class groups and Out(F_n), and spaces on which they act.
Updated on Apr 21, 2016 01:21 PM PDT 
Workshop Amenability, coarse embeddability and fixed point properties
Organizers: Goulnara Arzhantseva (University of Vienna), LEAD Cornelia Drutu (University of Oxford), Graham Niblo (University of Southampton), Piotr Nowak (Polish Academy of Sciences)The main theme of the workshop is the spectrum of analytic properties running from Kazhdan's property (T) at one end to von Neumann's amenability at the other, that forms a foundational organizing structure for infinite groups and spaces. These properties can be described both analytically, via unitary representation theory, and geometrically, using embedding properties for discrete spaces. Connections with probability and combinatorics will likewise be addressed during the meeting.
Updated on Jun 06, 2016 12:24 PM PDT 
Program Analytic Number Theory
Organizers: Chantal David (Concordia University), Andrew Granville (Université de Montréal), Emmanuel Kowalski (ETH Zuerich), Philippe Michel (Ecole Polytechnique Federale de Lausanne), Kannan Soundararajan (Stanford University), LEAD Terence Tao (University of California, Los Angeles)Analytic number theory, and its applications and interactions, are currently experiencing intensive progress, in sometimes unexpected directions. In recent years, many important classical questions have seen spectacular advances based on new techniques; conversely, methods developed in analytic number theory have led to the solution of striking problems in other fields.
This program will not only give the leading researchers in the area further opportunities to work together, but more importantly give young people the occasion to learn about these topics, and to give them the tools to achieve the next breakthroughs.
Updated on Jul 10, 2015 03:54 PM PDT 
Program Harmonic Analysis
Organizers: LEAD Michael Christ (University of California, Berkeley), Allan Greenleaf (University of Rochester), Steven Hofmann (University of Missouri), LEAD Michael Lacey (Georgia Institute of Technology), Svitlana Mayboroda (University of Minnesota, Twin Cities), Betsy Stovall (University of WisconsinMadison), Brian Street (University of WisconsinMadison)The field of Harmonic Analysis dates back to the 19th century, and has its roots in the study of the decomposition of functions using Fourier series and the Fourier transform. In recent decades, the subject has undergone a rapid diversification and expansion, though the decomposition of functions and operators into simpler parts remains a central tool and theme.This program will bring together researchers representing the breadth of modern Harmonic Analysis and will seek to capitalize on and continue recent progress in four major directions:Restriction, Kakeya, and Geometric Incidence ProblemsAnalysis on Nonhomogeneous SpacesWeighted Norm InequalitiesQuantitative Rectifiability and Elliptic PDE.Many of these areas draw techniques from or have applications to other fields of mathematics, such as analytic number theory, partial differential equations, combinatorics, and geometric measure theory. In particular, we expect a lively interaction with the concurrent program.Updated on Oct 06, 2015 07:56 PM PDT 
Workshop Connections for Women: Harmonic Analysis
Organizers: Svitlana Mayboroda (University of Minnesota, Twin Cities), LEAD Betsy Stovall (University of WisconsinMadison)This workshop will highlight the work of several prominent women working in harmonic analysis, including some of the field's rising stars. There will also be a panel discussion. There will also be a contributed poster session. This workshop is open to, and poster contributions are welcome from all mathematicians.
Updated on Jun 20, 2016 12:55 PM PDT 
Workshop Introductory Workshop: Harmonic Analysis
Organizers: Allan Greenleaf (University of Rochester), LEAD Michael Lacey (Georgia Institute of Technology), Svitlana Mayboroda (University of Minnesota, Twin Cities), Betsy Stovall (University of WisconsinMadison), Brian Street (University of WisconsinMadison)This weeklong workshop will serve as an introduction for graduate students, postdocs, and other researchers to the main themes of the program. It will feature accessible talks by a number of leading harmonic analysts, including several short courses on the core ideas and techniques in the field. There will also be a problem session, to which all participants are encouraged to contribute.
Updated on Jun 17, 2016 09:51 AM PDT 
Workshop Connections for Women: Analytic Number Theory
Organizers: LEAD Chantal David (Concordia University), Kaisa Matomäki (University of Turku), Lillian Pierce (Duke University), Kannan Soundararajan (Stanford University), Terence Tao (University of California, Los Angeles)This workshop will consist of lectures on the current state of research in analytic number theory, given by prominent women and men in the field. The workshop is open to all graduate students, postdocs, and researchers in areas related to the program; it will also include a panel discussion session among female researchers on career issues, as well as other social events
Updated on Apr 25, 2016 10:38 AM PDT 
Workshop Introductory Workshop: Analytic Number Theory
Organizers: Andrew Granville (Université de Montréal), LEAD Emmanuel Kowalski (ETH Zuerich), Kaisa Matomäki (University of Turku), Philippe Michel (Ecole Polytechnique Federale de Lausanne)The introductory workshop will present, through short minicourses and introductory lectures, the main topics that will be the subject of much of the Analytic Number Theory Programme at MSRI. These topics include the theory of multiplicative functions, the theory of modular forms and Lfunctions, the circle method, sieve methods, and the theory of exponential sums over finite fields
Updated on Nov 13, 2015 10:33 AM PST 
Workshop Recent developments in Analytic Number Theory
Organizers: Tim Browning (University of Bristol), Chantal David (Concordia University), Kannan Soundararajan (Stanford University), LEAD Terence Tao (University of California, Los Angeles)This workshop will be focused on presenting the latest developments in analytic number theory, including (but not restricted to) recent advances in sieve theory, multiplicative number theory, exponential sums, arithmetic statistics, estimates on automorphic forms, and the HardyLittlewood circle method.
Updated on May 19, 2016 11:17 AM PDT 
Workshop Recent Developments in Harmonic Analysis
Organizers: Michael Christ (University of California, Berkeley), Steven Hofmann (University of Missouri), LEAD Michael Lacey (Georgia Institute of Technology), Betsy Stovall (University of WisconsinMadison), Brian Street (University of WisconsinMadison)Topics for this workshop will be drawn from the main research directions of this conference, including:(1) Restriction, Kakeya, and geometric incidence problems(2) Analysis on nonhomogenous spaces(3) Weighted estimates(4) Quantitative rectifiability and other topics in PDEUpdated on Jun 15, 2016 09:32 AM PDT 
Program Geometric and Topological Combinatorics
Organizers: Jesus De Loera (University of California, Davis), Vic Reiner (University of Minnesota Twin Cities), LEAD Francisco Santos (University of Cantabria), Francis Su (Harvey Mudd College), Rekha Thomas (University of Washington), Günter M. Ziegler (Freie Universität Berlin)Combinatorics is one of the fastest growing areas in contemporary Mathematics, and much of this growth is due to the connections and interactions with other areas of Mathematics. This program is devoted to the very vibrant and active area of interaction between Combinatorics with Geometry and Topology. That is, we focus on (1) the study of the combinatorial properties or structure of geometric and topological objects and (2) the development of geometric and topological techniques to answer combinatorial problems.
Key examples of geometric objects with intricate combinatorial structure are point configurations and matroids, hyperplane and subspace arrangements, polytopes and polyhedra, lattices, convex bodies, and sphere packings. Examples of topology in action answering combinatorial challenges are the by now classical Lovász’s solution of the Kneser conjecture, which yielded functorial approaches to graph coloring, and the more recent, extensive topological machinery leading to breakthroughs on Tverbergtype problems.Updated on Sep 15, 2015 02:18 PM PDT 
Program Geometric Functional Analysis and Applications
Organizers: Franck Barthe (Université de Toulouse III (Paul Sabatier)), Marianna Csornyei (University of Chicago), Boaz Klartag (Tel Aviv University), Alexander Koldobsky (University of Missouri), Rafal Latala (University of Warsaw), LEAD Mark Rudelson (University of Michigan)Geometric functional analysis lies at the interface of convex geometry, functional analysis and probability. It has numerous applications ranging from geometry of numbers and random matrices in pure mathematics to geometric tomography and signal processing in engineering and numerical optimization and learning theory in computer science.
One of the directions of the program is classical convex geometry, with emphasis on connections with geometric tomography, the study of geometric properties of convex bodies based on information about their sections and projections. Methods of harmonic analysis play an important role here. A closely related direction is asymptotic geometric analysis studying geometric properties of high dimensional objects and normed spaces, especially asymptotics of their quantitative parameters as dimension tends to infinity. The main tools here are concentration of measure and related probabilistic results. Ideas developed in geometric functional analysis have led to progress in several areas of applied mathematics and computer science, including compressed sensing and random matrix methods. These applications as well as the problems coming from computer science will be also emphasised in our program.
Updated on Jun 02, 2015 01:17 PM PDT 
Workshop Connections for Women: geometry and probability in high dimensions
Organizers: LEAD Shiri Artstein (Tel Aviv University), Marianna Csornyei (University of Chicago), Eva Kopecka (LeopoldFranzens Universität Innsbruck), Elisabeth Werner (Case Western Reserve University)This workshop is open to all mathematicians.
Updated on Sep 04, 2015 12:59 PM PDT 
Workshop Introductory Workshop: phenomena in high dimensions
Organizers: Alexander Koldobsky (University of Missouri), Michel Ledoux (University of Toulouse), Monika Ludwig (Technische Universität Wien), LEAD Alain Pajor (Université de Paris Est MarnelaVallée), Stanislaw Szarek (Case Western Reserve University), Roman Vershynin (University of Michigan)This workshop will consist of several short courses related to high dimensional convex geometry, high dimensional probability, and applications in data science. The lectures will be accessible for graduate students.
Updated on Oct 13, 2015 02:58 PM PDT 
Workshop Connections for Women Workshop: Geometric and Topological Combinatorics
Organizers: Federico Ardila (San Francisco State University), Margaret Bayer (University of Kansas), Francisco Santos (University of Cantabria), LEAD Cynthia Vinzant (North Carolina State University)Created on Sep 10, 2015 12:15 PM PDT 
Workshop Introductory Workshop: Geometric and Topological Combinatorics
Organizers: Imre Barany (Hungarian Academy of Sciences (MTA)), Anders Björner (Royal Institute of Technology (KTH)), LEAD Ben Braun (University of Kentucky), Isabella Novik (University of Washington), Francis Su (Harvey Mudd College), Rekha Thomas (University of Washington)Created on Sep 10, 2015 12:20 PM PDT 
Workshop Geometric and topological combinatorics: Modern techniques and methods
Organizers: Patricia Hersh (North Carolina State University), LEAD Vic Reiner (University of Minnesota Twin Cities), Bernd Sturmfels (UC Berkeley Math Faculty), Frank Vallentin (Universität zu Köln), Günter M. Ziegler (Freie Universität Berlin)This workshop will focus on the interaction between Combinatorics, Geometry and Topology, including recent developments and techniques in areas such as
 polytopes and cell complexes,
 simplicial complexes and higher order graph theory,
 methods from equivariant topology and configuration spaces,
 geometric combinatorics in optimization and social choice theory,
 algebraic and algebrogeometric methods.Updated on Sep 18, 2015 02:54 PM PDT 
Workshop Geometric functional analysis and applications
Organizers: Franck Barthe (Université de Toulouse III (Paul Sabatier)), Rafal Latala (University of Warsaw), Emanuel Milman (TechnionIsrael Institute of Technology), Assaf Naor (Princeton University), LEAD Gideon Schechtman (Weizmann Institute of Science)This is the main workshop of the program "Geometric functional analysis and applications". It will focus on the main topics of the program. These include: Convex geometry, Asymptotic geometric analysis, Interaction with computer science, Signal processing, Random matrix theory and other aspects of Probability.Created on Sep 10, 2015 11:41 AM PDT 
Workshop Women in Topology
Organizers: Maria Basterra (University of New Hampshire), Kristine Bauer (University of Calgary), LEAD Kathryn Hess (École Polytechnique Fédérale de Lausanne (EPFL)), Brenda Johnson (Union CollegeUnion University)The Women in Topology (WIT) network is an international group of female mathematicians interested in homotopy theory whose main goal is to increase the retention of women in the field by providing both unique collaborative research opportunities and mentorship between colleagues. The MSRI WIT meeting will be organized as an afternoon of short talks from participants, followed by two days of open problem seminars and working groups designed to stimulate new collaborations, as well as to strengthen those already ongoing among the participants
Updated on Feb 22, 2016 09:27 AM PST 
Program Enumerative Geometry Beyond Numbers
Organizers: Mina Aganagic (University of California, Berkeley), Denis Auroux (University of California, Berkeley), Jim Bryan (University of British Columbia), LEAD Andrei Okounkov (Columbia University), Balazs Szendroi (University of Oxford)Traditional enumerative geometry asks certain questions to which the expected answer is a number: for instance, the number of lines incident with two points in the plane (1, Euclid), or the number of twisted cubic curves on a quintic threefold (317 206 375). It has however been recognized for some time that the numerics is often just the tip of the iceberg: a deeper exploration reveals interesting geometric, topological, representation, or knottheoretic structures. This semesterlong program will be devoted to these hidden structures behind enumerative invariants, concentrating on the core fields where these questions start: algebraic and symplectic geometry.
Updated on Oct 12, 2015 03:39 PM PDT 
Program Group Representation Theory and Applications
Organizers: Robert Guralnick (University of Southern California), Alexander (Sasha) Kleshchev (University of Oregon), Gunter Malle (Universität Kaiserslautern), Gabriel Navarro (University of Valencia), Julia Pevtsova (University of Washington), Raphael Rouquier (University of California, Los Angeles), LEAD Pham Tiep (University of Arizona)Group Representation Theory is a central area of Algebra, with important and deep connections to areas as varied as topology, algebraic geometry, number theory, Lie theory, homological algebra, and mathematical physics. Born more than a century ago, the area still abounds with basic problems and fundamental conjectures, some of which have been open for over five decades. Very recent breakthroughs have led to the hope that some of these conjectures can finally be settled. In turn, recent results in group representation theory have helped achieve substantial progress in a vast number of applications.
The goal of the program is to investigate all these deep problems and the wealth of new results and directions, to obtain major progress in the area, and to explore further applications of group representation theory to other branches of mathematics.
Updated on Mar 16, 2016 01:25 PM PDT 
Workshop Connections for Women: Enumerative Geometry Beyond Numbers
Created on Sep 18, 2015 01:29 PM PDT 
Workshop Introductory Workshop: Enumerative Geometry Beyond Numbers
Created on Sep 18, 2015 01:35 PM PDT 
Workshop Connections for Women: Group Representation Theory and Applications
Organizers: Karin Erdmann (University of Oxford), Julia Pevtsova (University of Washington)Updated on Sep 28, 2015 03:56 PM PDT 
Workshop Introductory Workshop: Group Representation Theory and Applications
Organizers: Robert Guralnick (University of Southern California), Gunter Malle (Universität Kaiserslautern)Updated on Sep 28, 2015 04:01 PM PDT 
Workshop Topical Workshop: Enumerative Geometry Beyond Numbers
Created on Sep 18, 2015 01:38 PM PDT 
Workshop Representations of Finite and Algebraic Groups
Organizers: Robert Guralnick (University of Southern California), Alexander (Sasha) Kleshchev (University of Oregon), Gunter Malle (Universität Kaiserslautern), Gabriel Navarro (University of Valencia), LEAD Pham Tiep (University of Arizona)The workshop will bring together key researchers working in various areas of Group Representation Theory to strengthen the interaction and collaboration between them and to make further progress on a number of
basic problems and conjectures in the field. Topics of the workshop include
 Globallocal conjectures in the representation theory of finite groups
 Representations and cohomology of simple, algebraic and finite groups
 Connections to Lie theory and categorification, and
 Applications to group theory, number theory, algebraic geometry, and combinatorics.Updated on Oct 02, 2015 04:31 PM PDT 
Program Hamiltonian systems, from topology to applications through analysis
Organizers: Rafael de la Llave (Georgia Institute of Technology), LEAD Albert Fathi (École Normale Supérieure de Lyon), Vadim Kaloshin (University of Maryland), Robert Littlejohn (University of California, Berkeley), Philip Morrison (University of Texas at Austin), Tere M. Seara (Universitat Politècnica de Catalunya), Serge Tabachnikov (Pennsylvania State University), Amie Wilkinson (University of Chicago)Updated on Jun 07, 2016 03:58 PM PDT 
Program Derived Algebraic Geometry
Organizers: Julie Bergner (University of California, Riverside), LEAD Bhargav Bhatt (University of Michigan), Dennis Gaitsgory (Harvard University), David Nadler (University of California, Berkeley), Nikita Rozenblyum (University of Chicago), Peter Scholze (Universität Bonn), Bertrand Toen (Centre National de la Recherche Scientifique (CNRS)), Gabriele Vezzosi (Università di Firenze)Derived algebraic geometry is an extension of algebraic geometry that provides a convenient framework for directly treating nongeneric geometric situations (such as nontransverse intersections in intersection theory), in lieu of the more traditional perturbative approaches (such as the “moving” lemma). This direct approach, in addition to being conceptually satisfying, has the distinct advantage of preserving the symmetries of the situation, which makes it much more applicable. In particular, in recent years, such techniques have found applications in diverse areas of mathematics, ranging from arithmetic geometry, mathematical physics, geometric representation theory, and homotopy theory. This semester long program will be dedicated to exploring these directions further, and finding new connections.
Updated on Mar 01, 2016 11:02 AM PST 
Program Birational Geometry and Moduli Spaces
Organizers: Antonella Grassi (University of Pennsylvania), LEAD Christopher Hacon (University of Utah), Sándor Kovács (University of Washington), Mircea Mustaţă (University of Michigan), Martin Olsson (University of California, Berkeley)Birational Geometry and Moduli Spaces are two important areas of Algebraic Geometry that have recently witnessed a flurry of activity and substantial progress on many fundamental open questions. In this program we aim to bring together key researchers in these and related areas to highlight the recent exciting progress and to explore future avenues of research.This program will focus on the following themes: Geometry and Derived Categories, Birational Algebraic Geometry, Moduli Spaces of Stable Varieties, Geometry in Characteristic p>0, and Applications of Algebraic Geometry: Elliptic Fibrations of CalabiYau Varieties in Geometry, Arithmetic and the Physics of String TheoryUpdated on Feb 29, 2016 02:50 PM PST
Past Scientific Events

Seminar Modeling Cancer Evolution using QuasiStationary Distributions in Resurrected Moran Models
Created on Jun 15, 2016 02:45 PM PDT 
Seminar Algebraic Vision
Created on Jun 15, 2016 02:44 PM PDT 
Summer Graduate School Harmonic Analysis and Elliptic Equations on real Euclidean Spaces and on Rough Sets
Organizers: LEAD Steven Hofmann (University of Missouri), Jose Maria Martell (Instituto de Ciencias Matematicas (ICMAT))The goal of the workshop is to present harmonic analysis techniques in $R^n$ (the ``flat" setting), and then to show how those techniques extend to much rougher settings, with application to the theory of elliptic equations. Thus, the subject matter of the workshop will introduce the students to an active, current research area: the interface between harmonic analysis, elliptic PDE, and geometric measure theory.
Updated on May 31, 2016 02:57 PM PDT 
Summer Graduate School Seminaire de Mathematiques Superieures 2016: Dynamics of Biological Systems
Organizers: Thomas Hillen (University of Alberta), Mark Lewis (University of Alberta), Yingfei Yi (University of Alberta)The purpose of this summer school is to focus on the interplay of dynamical and biological systems, developing the rich connectionbetween science and mathematics that has been so successful to date. Our focus will be on understanding the mathematical structure of dynamical systems that come from biological problems, and then relating the mathematical structures back to the biology to provide scientific insight. We will focus on five key areas: complex bionetworks, multi scale biological dynamics, biological waves, nonlinear dynamics of pattern formation, and disease dynamics. For each of the five key areas, we will invite 23 world leaders who are also excellent communicators to deliver a series of 24 onehour lectures. We expect an average of eight hours of lecture per subject area, spread over approximately two weeks.
Updated on Nov 11, 2015 03:54 PM PST 
Seminar Geometric Analysis: Metrics of fixed area on high genus surfaces with largest first eigenvalue
Updated on May 12, 2016 09:47 AM PDT 
Seminar Graduate Student Seminar
Created on May 12, 2016 09:49 AM PDT 
Seminar Geometry: Cubic curves and totally geodesic subvarieties of moduli space
Updated on May 10, 2016 11:59 AM PDT 
Seminar Informal Homogeneous Space Seminar
Created on May 12, 2016 01:02 PM PDT 
Seminar Riemannian Geometry: On measuremetric continuity of tangent cones in limit spaces with lower Ricci curvature bounds
Updated on May 06, 2016 08:44 AM PDT 
Seminar Graduate Student Seminar
Created on May 12, 2016 09:49 AM PDT 
Seminar Complex Geometry: Geometric flows and algebraic stability
Updated on May 12, 2016 08:49 AM PDT 
Seminar Graduate Student Seminar
Created on Feb 22, 2016 11:58 AM PST 
Seminar Symmetry in Geometry: Negative Ricci curvature on Lie groups with a compact Levi factor
Updated on May 06, 2016 08:47 AM PDT 
Seminar Geometric Analysis: Special Lagrangian equations
Updated on May 06, 2016 08:41 AM PDT 
Seminar Geometry: Geometry of smooth manifolds with measure
Updated on May 06, 2016 08:42 AM PDT 
Seminar Informal Homogeneous Space Seminar
Created on Feb 09, 2016 02:54 PM PST 
Seminar Riemannian Geometry: The moduli space of Ricciflat manifolds
Updated on May 06, 2016 08:42 AM PDT 
Seminar Graduate Student Seminar
Created on Feb 22, 2016 11:58 AM PST 
Seminar Complex Geometry: Deformation theory of scalarflat Kahler ALE surfaces
Updated on May 06, 2016 08:39 AM PDT 
Workshop Geometric Flows in Riemannian and Complex Geometry
Organizers: Tobias Colding (Massachusetts Institute of Technology), LEAD John Lott (University of California, Berkeley), Natasa Sesum (Rutgers University)The workshop will concentrate on parabolic methods in both Riemannian and complex geometry. The topics will include
 Ricci flow. Analytic questions about Ricci flow in three dimensions. Possible applications of Ricci flow to 4manifold topology. Ricci flow in higher dimensions under curvature assumptions.
 KählerRicci Flow. Applications to the KählerEinstein problem. Connections to the minimal model program. Study of KählerRicci solitons and limits of KählerRicci flow.
 Mean curvature flow. Singularity analysis. Generic mean curvature flow.
 Other geometric flows such as Calabi flow and pluriclosed flow.
Updated on May 19, 2016 10:40 AM PDT 
Workshop Bay Area Differential Geometry Seminar (BADGS) Spring 2016
Organizers: David Bao (San Francisco State University), Joel Hass (University of California, Davis), David Hoffman (Stanford University), Rafe Mazzeo (Stanford University), Richard Montgomery (University of California, Santa Cruz)The Bay Area Differential Geometry Seminar meets 3 times each year and is a 1day seminar on recent developments in differential geometry and geometric analysis, broadly interpreted. Typically, it runs from midmorning until late afternoon, with 34 speakers. Lunch will be available and the final talk will be followed by dinner.
Updated on Mar 30, 2016 10:12 AM PDT 
Seminar Postdoc Lunch Seminar II: Unnormalized conical KahlerRicci flow
Updated on Apr 21, 2016 03:27 PM PDT 
Seminar Postdoc Lunch Seminar I: Special Hermitian metrics characterized by relationships between scalar curvatures
Updated on Apr 21, 2016 03:26 PM PDT 
Seminar Berkeley Math Dept. Colloquiua: Level set flow
Updated on Apr 21, 2016 03:24 PM PDT 
Seminar Symmetry in Geometry: Immortal homogeneous Ricci flows
Updated on Apr 21, 2016 03:22 PM PDT 
Seminar Graduate Student Seminar
Created on Feb 22, 2016 11:57 AM PST